Find the spectral radius of the matrix T, of Gauss-Seidel method for the following lineer system: X₁ +4x₂-x3=2, X₁-X₂+X3=3, 2X₁-2x₂ + x3 = -2. 02

Find the spectral radius of the matrix TjTj of Jacobi method for the following lineer system: x₁+3x₃=2, 2x₁-2x₂+2x₃=1,   x₁-3x₃=2.

Consider the following linear system y + The coefficient matrix is known to have eigenpairs (1, H) and (-1,): Use the method of variation of parameters to find a particular solution of this non-homogeneous system.

Aşağıdaki lineer sistem için Gauss-Seidel yönteminin T, matrisinin spectral yarıçapını bulunuz: Find the spectral radius of the matrix T, of Gauss-Seidel method for the following lineer system: X₁ +3X₂-X3 =2, X₁-X₂ +4x3 =3, 2X₁-2x2+x3 = -2. O + LO 2

Let A be a 3x3 invertible matrix. The reduced row-echelon form of A is obtained by performing the following three elementary row operations in order: (1) First multiply row 1 by 1. (ii) Then add 3 times row 3 to row 2. (iii) Then finally interchange rows 3 and 2. Then what is det(A)? det(A) = 0